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Simplifying log(7)(3x + 2) + log(7)(x) = (4) Reorder the terms: glo * 7(2 + 3x) + log(7)(x) = (4) Reorder the terms for easier multiplication: 7glo(2 + 3x) + log(7)(x) = (4) (2 * 7glo + 3x * 7glo) + log(7)(x) = (4) (14glo + 21glox) + log(7)(x) = (4) Reorder the terms for easier multiplication: 14glo + 21glox + 7glo * x = (4) Multiply glo * x 14glo + 21glox + 7glox = (4) Combine like terms: 21glox + 7glox = 28glox 14glo + 28glox = (4) 14glo + 28glox = 4 Solving 14glo + 28glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + 14glo + 28glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 14glo + 28glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 7glo + 14glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 7glo + 14glox)' equal to zero and attempt to solve: Simplifying -2 + 7glo + 14glox = 0 Solving -2 + 7glo + 14glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7glo + 2 + 14glox = 0 + 2 Reorder the terms: -2 + 2 + 7glo + 14glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7glo + 14glox = 0 + 2 7glo + 14glox = 0 + 2 Combine like terms: 0 + 2 = 2 7glo + 14glox = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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